Answer:
f(x) = 3(x + 8)(x - 2)
Step-by-step explanation:
The intercept form of a quadratic function is y = a(x - r)(x - s), where r and s are the x-intercepts and a is the vertical stretch/compression factor.
If the intercepts are at (-8, 0) and (2, 0), and the vertical stretch is 3, just substitute these values into the intercept form formula, and you're done!
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F(x,n,p)=C(n,x)p^x*(1-p)^(n-x)
n=9, p=0.8 =>
f(x,9,0.8)=C(9,x)0.8^x*(0.2)^(9-x)
The function f(x,9,0.8) is then calculated using the above formula
x f(x)
0 0.0000001 0.0000182 0.0002953 0.0027534 0.0165155 0.0660606 0.1761617 0.3019908 0.3019909 0.134218
Check Sum f(x), [x=0,9] = 1.0 ok
Answer:
$57
Step-by-step explanation:
Given that:
Earnings per hour for washing cars = $9
Earnings per hour for walking dogs = $6
Number of hours for which car washing is done = 
Number of hours taken for walking dogs = 
Earnings for hours for washing cars = Per hour earnings multiplied by number of hours = $9
Earnings for hours for walking dogs = Per hour earnings multiplied by number of hours = $6
Total earnings by both = $()
Now, given that
Number of hours spent washing cars = 5 hours
Number of hours spent walking dogs = 2 hours
Therefore, total earnings by both = 9 
5 + 6 2 = <em>$57</em>
Let 
, so that 
:
Now the ODE is separable, and we have
Integrating both sides gives
For the integral on the left, rewrite the integrand as
Then
and so
Given that 
, we find
so that the particular solution to this IVP is
